GeomGravX: 10 Years of Geometric Foundations of Gravity and eXtensions (in Tartu)

Session

Fernando Izaurieta: One Lagrangian to rule them all

30 Jun 2026, 11:25

A106 (Physicum, University of Tartu)

Description

A single geometric invariant fixes the relative normalization and structure of gravity, Yang-Mills theory, and fermion kinetic terms, including ghost freedom in the gravitational sector, without tuning. Our results establish a minimal geometric route to unification that does not rely on extra dimensions or symmetry breaking by hand. Unlike previous gauge-gravity constructions, the relative normalizations and ghost freedom emerge from a single Clifford-algebraic invariant, without explicit symmetry breaking.

55. One Lagrangian to rule them all

Fernando Izaurieta (Universidad San Sebastián)

30/06/2026, 11:25

1

Oral talk

A single geometric invariant fixes the relative normalization and structure of gravity, Yang-Mills theory, and fermion kinetic terms, including ghost freedom in the gravitational sector, without tuning. Our results establish a minimal geometric route to unification that does not rely on extra dimensions or symmetry breaking by hand. Unlike previous gauge-gravity constructions, the relative...